ISLAM AND MATHEMATICS

Geometry


  • *146a. Bode, P. Die Alhazensche Spiegel-Aufgabe in ihrer historischen Entwicklung nebst einer analytischen Lösung des verallgemeinerten Problems. Jahresberichte des Physikalischen Vereins zu Frankfurt am Main (1891-1892), pp. 63-107.
    Discusses the ``problem of Alhazen'' and its mathematical context in the Optics of Ibn al-Haytham. See *88, and see *103a for some corrections to Bode's article.
  • *147. Hogendijk, J. Greek and Arabic Constructions of the Regular Heptagon. Archive for History of Exact Sciences 30 (1984), pp. 197-330.
    With editions of treatises on the heptagon by pseudo-Archimedes and al-Sijzi.
  • *148. Jaouiche, Kh. La théorie des parallèles en pays d'Islam. Paris: Vrin, 1986.
    Includes French translations of all available Arabic texts on the parallel postulate.
  • *149. Knorr, W. Textual Studies in Ancient and Medieval Geometry. Basel: Birkhäuser 1992.
    Includes editions of Arabic texts on the trisection of the angle and the construction of two mean proportionals. The methods and conclusions of this book are analyzed and in part refuted in a review by J.L. Berggren in Ancient Philosophy 12 (1992), pp. 522-528.
  • *150. Kunitzsch, P. Letters in Geometrical Diagrams: Greek - Arabic - Latin, Zeitschrift für Geschichte der arabisch-islamischen Wissenschaften 7 (1991-2), pp. 1-20.
    With an appendix by E.S. Kennedy on pp. 21-22.
  • *151. Rosenfeld, B.A, A History of non-Euclidean Geometry. New York: Springer 1988.
    Translated from the Russian by Abe Shenitzer. This book contains a large chapter on Islamic work on the parallel postulate.

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